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 A153263 A014217(n+3) - A014217(n). 2
 3, 5, 9, 13, 23, 35, 59, 93, 153, 245, 399, 643, 1043, 1685, 2729, 4413, 7143, 11555, 18699, 30253, 48953, 79205, 128159, 207363, 335523, 542885, 878409, 1421293, 2299703, 3720995, 6020699, 9741693, 15762393, 25504085, 41266479, 66770563 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The least significant digits are a sequence of period length 4: 3,5,9,3. One could extend A014217 using its recurrence to define A014217(-1)=-1. This would add a(-1)=3 here by definition, and the least significant digits would still follow the (same, wrapped) period of length 4: 3,3,5,9. LINKS Index entries for linear recurrences with constant coefficients, signature (0,2,1). FORMULA a(2n+2)=a(2n+1)+a(2n)+1. a(2n+3)=a(2n+2)+a(2n+1)-1. a(n)=2*a(n-2)+a(n-3) = (-1)^n+2*A000032(n+1). G.f.: (3+5x+3x^2)/ ((1+x)(1-x-x^2)). [From R. J. Mathar, Feb 07 2009, Apr 18 2009] a(n)+a(n+1) = A022112(n+2). - R. J. Mathar, Feb 25 2013 CROSSREFS Sequence in context: A052282 A001993 A284829 * A295140 A144933 A133033 Adjacent sequences:  A153260 A153261 A153262 * A153264 A153265 A153266 KEYWORD nonn,easy AUTHOR Paul Curtz, Dec 22 2008 EXTENSIONS More terms from R. J. Mathar, Feb 07 2009 Edited by R. J. Mathar, Apr 18 2009 STATUS approved

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Last modified July 12 23:28 EDT 2020. Contains 335669 sequences. (Running on oeis4.)